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Finding the Fourth Proportional to 3,024.92, 4,538.10 and 1,639.64

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Solution

The fourth proportional to 3,024.92, 4,538.10 and 1,639.64 is: 2,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.92 : 4,538.10 = 1,639.64 : x
  2. Step 2: Convert to fraction form
    3,024.92/4,538.10 = 1,639.64/x
  3. Step 3: Cross multiply
    3,024.92x = 4,538.10 × 1,639.64
  4. Step 4: Simplify right side
    3,024.92x = 7,440,850.28
  5. Step 5: Solve for x
    x = 7,440,850.28/3,024.92
  6. Step 6: Final answer
    x = 2,459.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.